Quadratic Julia Sets with Positive Area
动力系统
2008-02-05 v2
摘要
We prove the existence of quadratic polynomials having a Julia set with positive Lebesgue measure in three cases: the presence of a Cremer fixed point, the presence of a Siegel disk, the presence of infinitely many (satellite) renormalizations.
引用
@article{arxiv.math/0605514,
title = {Quadratic Julia Sets with Positive Area},
author = {Xavier Buff and Arnaud Cheritat},
journal= {arXiv preprint arXiv:math/0605514},
year = {2008}
}
备注
57 pages. In this update, we added lots of figures and detailed the proofs, especially in the section called "the control of the post critical set"